Number of cards in a deck = 52
Total number of aces = 4
Hence Number of remaining cards = 52 – 4 = 48
We have to make a collection of 5 cards, in which there is 1 ace and 4 other cards.
Hence, number of ways choosing 1 out of 4 ace.
Now,Number of ways choosing 4 cards out of 48 cards
Hence, total number of collection having 5 cards
Total number of collection having 5 cards
= 4C1 × 48C4 = 4 × 194580 = 778320
Hence, number of combinations formed by 5 cards = 778320.